**Division of Fractions.**

Starter

Dividing a fraction

What is

2

**L.O. - To divide one fraction by another**

fraction using a reciprocal.

fraction using a reciprocal.

How many eighths would

it take to make up the

shaded fraction?

Use this to explain the

answer to

3 1

4 8

/ 5 =

3

What about

7

/ 9 =

8

Dividing a fraction by a fraction

5 3

6 4

Dividing a fraction by a fraction

5 3

6 4

"To divide by a fraction, multiply by its reciprocal".

Reciprocals

Find reciprocals of these numbers (I suggest working across)

Examples of Division

Further Examples

Main Activity 1

Red

Amber

Green

Answers

Red

Amber

Green

Reciprocals

Find reciprocals of these numbers (I suggest working across)

Starter

How many eighths would

it take to make up the

shaded fraction?

6

Use this to explain the

answer to

3 1

4 8

= 6

Dividing a fraction

What is

2

/ 5 =

3

What about

7

/ 9 =

8

2 1 2

3 5 15

x =

7 1 7

8 9 72

x =

Reciprocals

Reciprocals

7

1

6

3

8

1

4

5

Reciprocals

7

1

6

3

8

1

4

5

5 4

6 3

= x = = = 1

20 10 1

18 9 9

4 5 2 5

6 3 3 3

or = x = x

Examples of Division

5 72 72 5 6 1

12 65 12 65 1 13

= x = x = x

6

13

=

14 39 39 14 13 1

3 28 3 28 1 2

= x = x = x

13 1

2 2

6

= =

Further Examples

36 21 21 36 3 9

77 16 77 16 11 4

27

44

21 44 44 21 11 3

4 35 4 35 1 5

33 3

5 5

= x = x = x

= x = x = x

=

= = 6

**Activities**

**Key**

Examples

Examples

**Activity**

Answers

Answers

**Worked**

Example

Example

**Worked**

Example

Example

**Worked**

Example

Example

**Worked**

Example

Example

**Worked**

Example

Example

Reciprocals

The reciprocal of a number is the value

that multiplies with the original number

to give 1 i.e.

x = = 1

b

a

a

b

ab

ab

A quick way of recognising a reciprocal

is to flip a fraction upside down i.e.

a

b

The reciprocal of is .

b

a

To divide by a fraction, multiply by its

reciprocal.